Search a number
-
+
2321241440 = 255711031879
BaseRepresentation
bin1000101001011011…
…0101010101100000
312222202211021122012
42022112311111200
514223214211230
61022200132052
7111344140520
oct21226652540
95882737565
102321241440
11a9130a061
12549467028
132acba165b
141803db680
15d8bba395
hex8a5b5560

2321241440 has 96 divisors (see below), whose sum is σ = 6276372480. Its totient is φ = 794709504.

The previous prime is 2321241427. The next prime is 2321241449. The reversal of 2321241440 is 441421232.

It is a super-3 number, since 3×23212414403 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2321241449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1234421 + ... + 1236299.

It is an arithmetic number, because the mean of its divisors is an integer number (65378880).

Almost surely, 22321241440 is an apocalyptic number.

2321241440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2321241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3138186240).

2321241440 is an abundant number, since it is smaller than the sum of its proper divisors (3955131040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2321241440 is a wasteful number, since it uses less digits than its factorization.

2321241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3004 (or 2996 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2321241440 is about 48179.2635892248. The cubic root of 2321241440 is about 1324.0572745948.

Adding to 2321241440 its reverse (441421232), we get a palindrome (2762662672).

The spelling of 2321241440 in words is "two billion, three hundred twenty-one million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1103 1120 1879 2206 3758 4412 5515 7516 7721 8824 9395 11030 13153 15032 15442 17648 18790 22060 26306 30064 30884 35296 37580 38605 44120 52612 60128 61768 65765 75160 77210 88240 105224 123536 131530 150320 154420 176480 210448 247072 263060 300640 308840 420896 526120 617680 1052240 1235360 2072537 2104480 4145074 8290148 10362685 14507759 16580296 20725370 29015518 33160592 41450740 58031036 66321184 72538795 82901480 116062072 145077590 165802960 232124144 290155180 331605920 464248288 580310360 1160620720 2321241440